Jon A. Wellner

Address

Phone: (206) 543-6207
E-mail: jonw@uw.edu

Education

• Ph.D. Statistics, University of Washington, 1975
• B.S. Mathematics, University of Idaho, 1968.

Permanent Employment

• Professor Emeritus of Statistics, University of Washington, 2020 -
• Professor of Statistics and Biostatistics, University of Washington, 1983-2020
• Associate Professor of Statistics, University of Rochester, 1979-1983
• Assistant Professor of Statistics, University of Rochester, 1975-1979

Temporary Employment and Visits

• Saw Swee Hock Visiting Professor of Statistics, National University of Singapore, Winter-Spring, 2019
• Visiting Professor of Statistics, University of Heidelberg, 2011-2012
• Visiting Professor of Statistics, Free University of Amsterdam, 2004-2005
• Stieltjes Visiting Professor, Vrije Universiteit Amsterdam, 1999
• Visiting Professor of Statistics, University of Leiden, 1987-1988
• Visiting Professor of Mathematics, Ludwig Maximillians Universitaet, Munich 1980-1981

Fellowships and Awards

• Alexander von Humboldt Foundation Fellow, 1980-1981.
• John Simon Guggenheim Foundation Fellow, 1987-1988.
• IMS Medallion Lecture, Western Regional Meeting of the IMS, Corvallis, Oregon, June, 1992.
• Knight of the Order of the Netherlands Lion, July 30, 2010.
  Order of the Netherlands Lion -- official website
• Alexander von Humboldt Foundation Research Prize, 2011-2012 .
• Senior Noether Award, 2011.
• IMS Le Cam Lecture, IMS Meeting and JSM, Seattle, Washington, August, 2015.
  
• Lucien Le Cam Lecturer, Journee de Statistique, Societe Francais de Statistique, May 29 - June 2, 2017
  Avignon, France

Memberships

• Phi Beta Kappa
• Institute of Mathematical Statistics (Fellow)
• American Statistical Association (Fellow)
• American Association for the Advancement of Science (Fellow)
• International Statistical Institute (Member)
• Bernoulli Society
• Society for Industrial and Applied Mathematics (SIAM)
• American Mathematical Society
• Mathematical Association of America

Editorial Service

• Co-Editor, Annals of Statistics, 2001-2003
• Associate Editor, Annals of Statistics, 1983-88; 1992-1994
• IMS Executive Editor, Statistics Surveys, 2007-2009
• Associate Editor, Probability Theory and Related Fields, 2007-2010
• Associate Editor, Bernoulli, 2010
• Series Co-Editor, Selected Works in Probability and Statistics, 2009-2011
• Editor, Statistical Science, 2011-2013
• Associate Editor, Statistica Neerlandica, 2015-2016 .

Selected Professional Activities

• External Review Committee for Statistics at Iowa State University, 2006
• IMS Council, Institute of Mathematical Statistics, 2007-2010.
• IMS Program Secretary, 1994-1997
• IMS President, 2016-2017

Books

• Empirical Processes with Applications to Statistics
  (with Galen R. Shorack). Wiley, New York, 1986
  Reprinted by SIAM, 2009.   Zbl 1171.62057
   
• Information Bounds and Nonparametric Maximum Likelihood Estimation
  (with Piet Groeneboom). DMV Seminar 19. Birkhauser Verlag, Basel, 1992.
   
• Efficient and Adaptive Estimation for Semiparametric Models
  (with Peter J. Bickel, Chris A. J. Klaassen, and Ya'acov Ritov).
  Johns Hopkins University Press, Baltimore, 1993.
   
• Weak Convergence and Empirical Processes, With Applications to Statistics
  (with Aad W. van der Vaart). Springer-Verlag, March 1996.
   
• Weak Convergence and Empirical Processes
  (with Aad van der Vaart), Springer Nature Switzerland AG, Gewerbestrasse 11, 2023,
  Second Edition

ORCID: 0000-0001-9161-833X

Publications

• A new approach to tests and confidence bands for distribution functions.
  With Lutz Duembgen, Annals of Statistics 51 (2023), 260 - 289.
  arXiv:1402.2918v5.   Math Reviews 4564856
  
 
• Hardy's inequality and its descendants: a probability approach.
  With Chris A. J. Klaassen, Electronic Journal of Probability 26 (2021), article no.142, 1-34.
  arXiv:2006.11818v2.  
 
• Stein 1956: Efficient nonparametric testing and estimation
  With Aad van der Vaart, Annals of Statistics 49 (2021) 1836 - 1849.
  Math Reviews 4319232
  
 
• Bounding distributional errors via density ratios
  With Lutz Duembgen and Richard J. Samworth.  
  Bernoulli 27 (2021), 818 - 852.
  arXiv:1905.03009.   Math Reviews 4255217
  
 
• Bi-s*-concave distributions.
  With Nilanjana Laha and Zhen Miao,
  Journal of Statistical Planning and Inference 215 (2021), 127 - 157.
  arXiv:2006.03989.pdf.   Math Reviews 4236472
  
 
• The density ratio of generalized binomial versus Poisson distributions.
  With Lutz Duembgen. Statistics and Probability Letters 165 (2020).
  Available as arXiv:1910.03444v4.   Math Reviews 4118941
  
 
• Complex sampling designs: uniform limit theorems and applications.
  With Qiyang Han. Annals of Statistics 49 (2021), 459-485.
  Available as arXiv:1905.12824,   Math Reviews 4206686
  
 
• Nonparametric estimation of the lifetime and disease onset distributions for a survival-sacrifice model.
  Electronic Journal of Statistics 13 (2019), 3195–3242.
  With A.E. Gomes and Piet Groeneboom.   Math Reviews 4010597
  
 
• Univariate log-concave density estimation with symmetry or modal constraints.
  Electronic Journal of Statistics 13 (2019), 2391-2461.
  With Charles R. Doss.   Math Reviews 3983344;   arXiv:1611.10335
  
 
• Inference for the mode of a log-concave density.   Supplement
  Annals of Statistics 47 (2019), 2950-2976.
  With Charles R. Doss.   Math Reviews 3988778;   arXiv:1611.10348v3
  
 
• On the isoperimetric constant, covariance inequalities and L_p Poincare inequalities in dimension one.
  Bernoulli 25 (2019), 1794-1815.
  With Adrien Saumard. Math Reviews 3961231;   arXiv:1711.00668
  
 
• Convergence rates of least squares regression estimators with heavy tailed errors.   Supplement.
  Annals of Statistics 47 (2019), 2286 - 2319.
  With Qiyang (Roy) Han.   Math Reviews 3953452;   arXiv:1706.02410
  
 
• Efron's monotonicity property for measures on R^2.
  Journal of Multivariate Analysis 166 (2018), 212 - 224.
  With Adrien Saumard.   Math Reviews 3799644;   arXiv:1707.04472
  
 
• Entropy of convex functions on R^d.
  Constructive Approx. 46 (2017), 565 - 592.
  With Fuchang Gao.   Math Reviews 3735701;   arXiv:1502.01752
  
 
• The Bennett-Orlicz norm.
  Sankhya A 79 (2017), 355 - 383.
  Math Reviews 3707425;   dx.doi.org/dx.doi.org/10.1007/s13171-017-0108-4;   arXiv:1703.01721
  
 
• Exponential bounds for the hypergeometric distribution.
  Bernoulli 23 (2017), 1911-1950.
  With Evan Greene.   Math Reviews 3624882;   dx.doi.org/10.3150/15-BEJ800.   arXiv:1507.08298
   
• A law of the iterated logarithm for Grenander's estimator.
  Stochastic Processes and their Applications 126 (2016), 3854-3864.
  doi.org/10.1016/j.spa.2016.04.012
  With Lutz Duembgen and Malcolm Wolff.   Math Reviews 3565482;   arXiv:1502.00320v1
   
• Finite sampling inequalities: an application to two-sample Kolmogorov-Smirnov statistics.
  Stochastic Processes and their Applications 126 (2016), 3701-3715.
  doi.org/10/1016/j.spa.2016.05.020
  With Evan Greene.   Math Reviews 3565473;   arXiv:1502.00342
   
• On convex least squares estimation when the truth is linear.
  Electronic Journal of Statistics 10 (2016), 171 - 209.
  With Yining Chen.   Math Reviews 3217435;   Zbl 06549018.
  arXiv:1411.4626v2
   
• Approximation and estimation of s-concave densities via Renyi divergences.   Supplement
  Annals of Statistics 44 (2016), 1332 - 1359.
  With Qiyang (Roy) Han.   Math Reviews 3485962;   arXiv:1505.00379.
   
• Global rates of convergence of the MLEs of log-concave and s-concave densities.   Supplement
  Annals of Statistics 44 (2016), 954-981.
  With Charles Doss.   Math Reviews 3485950;   arXiv:1306.1438v2
   
• Z-estimation and stratified samples: application to survival models
  Lifetime Data Analysis 21 (2015), 493-516.
  With Norman Breslow and Jie Hu.   Math Reviews 3397503;   Zbl 06563731.
  Preprint version. The final publication is available at Springer via http://dx.doi.org/10.1007/s10985-014-9317-5.
   
• Log-concavity and strong log-concavity: a review
  Statistics Surveys 8 (2014), 45-114.
  (with Adrien Saumard).   Math Reviews 3290441;   Zbl 063862738.
   
• An excursion approach to maxima of the Brownian bridge
  Stochastic Processes and their Applications 124 (2014), 3106-3120.
  (with Mihael Perman).   Zbl 06338768;   Math Reviews 3217435
   
• Information bounds for Gaussian copulas
  Bernoulli 20 (2014), 604-622.
  (with Peter Hoff and Xiaoyue Maggie Niu).   Zbl 06291815;   Math Reviews 3178511
   
• Chernoff's density is log-concave
  Bernoulli 20 (2014), 231-244.
  (with Fadoua Balabdaoui). Zbl 06282549;   Math Reviews 3160580
   
• A general semiparametric Z-estimation approach for case-cohort studies
  Statistica Sinica 23 (2013), 1155-1180.
  (with Bin Nan). Zbl 06202702;   Math Reviews 3114709
   
• Weighted likelihood estimation under two-phase sampling;   Electronic supplement
  Annals of Statistics 41 (2013), 269-295.
  (with Takumi Saegusa). Zbl 06168779;   Math Reviews 3059418
   
• Global rates of convergence of the MLE for multivariate interval censoring
  Electronic Journal of Statistics 7 (2013), 364-380.
  (with Fuchang Gao). Math Reviews 3020425;   Zbl 06167940
   
• Nonparametric estimation of multivariate scale mixtures of uniform densities
  Journal of Multivariate Analysis 107 (2012), 71-89.
  (with Marios Pavlides). Math Reviews 2890434;   Zbl 06031339
   
• Squaring the circle and cubing the sphere: circular and spherical copulas
  Symmetry 3 (2011), 574-599.
  (with Michael Perlman).
  Math Reviews 2845299;   Math Reviews 2012h:62203
   
• A local maximal inequality under uniform entropy
  Electronic Journal of Statistics 5 (2011), 192-203.
  (with Aad van der Vaart).
  Math Reviews 2792551;   Math Reviews 2012k:60067
   
• Nonparametric estimation of multivariate convex-transformed densities
  Annals of Statistics 38 (2010), 3751-3781. (with Arseni Seregin).
  Supplementary material
  Math Reviews 2766867;   Math Reviews 2012b:62126;   Zbl 1204.62058
   
• How many Laplace transforms of probability measures are there?
  Proceedings of the American Mathematical Society 138 (2010), 4331-4344.
  (with Fuchang Gao and Wenbo Li).
  Math Reviews 268059;   Math Reviews 2012a:46141;   Zbl 1206.60020
   
• On the Grenander estimator at zero.
  Statistica Sinica 21 (2011), 873-899.
  (with Fadoua Balabdaoui, Hanna Jankowski, Marios Pavlides, and Arseni Seregin).
  Math Reviews 2829859;   Math Reviews 2012e:62093;   Zbl 1214.62037
   
• Estimation of a k-monotone density: characterizations, consistency and minimax lower bounds.
  Statistica Neerlandica 64 (2010), 45-70. (with Fadoua Balabdaoui).
  Math Reviews 2830965
   
• Nemirovski's inequalities revisited.
  American Mathematical Monthly 117 (2010), 138-160.
  (with Lutz Duembgen, Sara van de Geer, and Mark Veraar)
  Math Reviews 2590193;   Math Reviews 2011b:60017;   Zbl 05822205
   
• Estimation of a discrete monotone distribution.
  Electronic Journal of Statistics 3 (2009), 1567-1605. (with Hanna Jankowski)
  Math Reviews 2578839;   Math Reviews 2011e:62040
   
• Nonparametric estimation of a convex bathtub-shaped hazard function.
  Bernoulli 15 (2009), 1010-1035. (with Hanna Jankowski)
  Math Reviews 2597581;   Math Reviews 2011c:62103;   Zbl 05816130
   
• On the rate of convergence of the maximum likelihood estimator of a k-monotone density.
  Science in China Series A: Mathematics 52 (2009), 1-14. (with Fuchang Gao)
  Math Reviews 2520591;   Math Reviews 2010i:62094;   Zbl 1176.62031
   
• Limit distribution theory for maximum likelihood estimation of a log-concave density.
  Ann. Statist. 37 (2009), 1299-1331. (with Kaspar Rufibach and Fadoua Balabdaoui)
  Math Reviews 2509075;   Math Reviews 2010h:62290;   Zbl 1160.62008;   arXiv:0708.3400
   
• Computation of nonparametric convex hazard estimators via profile methods.
  J. Nonparametric Statistics 21 (2009), 505-518. (with Hanna Jankowski)
  Math Reviews 2571725;   Math Reviews 2011h:62113;   Zbl 1161.62014
   
• The support reduction algorithm for computing nonparametric function estimates in mixture models.
  Scand. J. Statist. 35 (2008), 385-399. (with G. Jongbloed and P. Groeneboom)
  Math Reviews 2446726,   Math Reviews 2009m:62115;   Zbl 1199.65017;   arXiv:math.ST/0405511
   
• A Z-theorem with estimated nuisance parameters
  and correction note for `Weighted likelihood for semiparametric models and two-phase stratified samples, with application to Cox regression'.
  Scand. J. Statist. 35 (2008), 186-192. (with Norman Breslow)
  Math Reviews 2391566;   Zbl 1164.62012
   
• Inconsistency of the MLE for the joint distribution of interval-censored survival times and continuous marks.
  Scand. J. Statist. 35 (2008), 83-103. (with Marloes Maathuis)
  Math Reviews 2391560; Math Reviews 2009e:62392;   Zbl 1164.62076
    arXiv:0509084
   
• Current status data with competing risks: limiting distribution of the MLE.
  Ann. Statist. 36 (2008), 1064-1089. (with Piet Groeneboom and Marloes Maathuis)
  Math Reviews 2418649, Math Reviews 2009j:62127;   Zbl 1216.62047
   
• Current status data with competing risks: consistency and rates of convergence of the MLE.
  Ann. Statist. 36 (2008), 1031-1063. (with Piet Groeneboom and Marloes Maathuis)
  Math Reviews 2418648, Math Reviews 2009h:62039;   Zbl 05294964
   
• Estimation of a k-monotone density: limit distribution theory and the spline connection.
  Ann. Statist. 35 (2007), 2536-2564. (with Fadoua Balabdaoui)
  Math Reviews 2382657; Math Reviews 2009b:62077;   Zbl 1129.62019
   
• Goodness-of-fit tests via phi-divergences.
  Ann. Statist. 35 (2007), 2018-2053. (with Leah Jager)
  Math Reviews 2363962; Math Reviews 2009a:62200;   Zbl 1126.62030
   
• Two likelihood-based semiparametric estimation methods for panel count data with covariates.
  Ann. Statist. 35 (2007), 2106-2142. (with Ying Zhang)
  Math Reviews 2363965;   Math Reviews 2009c:62068;   Zbl 1126.62084
   
• Entropy estimate for high dimensional monotonic functions.
  Journal of Multivariate Analysis 98 (2007), 1751-1764. (with Fuchang Gao)
  Math Reviews 2392431; Math Reviews 2009a:62140;   Zbl pre05242920;   arXiv:0512641
   
• Weighted likelihood for semiparametric models and two-phase stratified samples, with application to Cox regression.
  Scand. J. Statist. 34 (2007), 86 - 102. (with Norman Breslow)
  Math Reviews 2325244;   Zbl pre05220320
   
• Confidence intervals for current status data.
  Scand. J. Statist. 32 (2005), 404 - 425. (with Moulinath Banerjee).
  Math Reviews 2204627;   Zbl 1070.62087
   
• Information bounds for Cox regression models with missing data.
  Ann. Statist. 32 (2004), 723 - 753. (with Bin Nan and Mary Emond).
  Math Reviews 2005c:62032;   Zbl 1097.62097;   arXiv:math.ST/0406452
   
• Large sample theory for semiparametric regression models with two-phase outcome dependent sampling.
  Ann. Statist. 31 (2003), 1110-1139. (with B. McNeney and N. Breslow). Via the Berkeley Electronic Press
  Math Reviews 2004m:62103;   Zbl 1105.62335
   
• Asymptotic analysis of (3,2,1)-Shellsort.
  Random Structures and Algorithms 21 (2002), 59 - 75. (with R. T. Smythe).
  Math Reviews 2004m:68299;   Zbl 1037.68049
   
• Computing the covariance of two Brownian area integrals.
  Statistica Neerl. 56 (2002), 101 - 109. (with Robert Smythe).
  Math Reviews 2003b:62146;   Zbl 1090.65512
   
• Likelihood ratio tests for monotone functions.
  Ann. Statist. 29 (2001), 1699 - 1731. (with Moulinath Banerjee).
  Math Reviews 2003c:62072;   Zbl 1043.62037
   
• Estimation of a convex function: characterizations and asymptotic theory .
  Ann. Statist. 29 (2001), 1653 - 1698. (with Piet Groeneboom and Geurt Jongbloed).
  Math Reviews 2003a:62047;   Zbl 1043.62027
   
• A canonical process for estimation of convex functions: the ``invelope'' of integrated Brownian motion + t⁴ .
  Ann. Statist. 29 (2001), 1620 - 1652. (with Piet Groeneboom and Geurt Jongbloed).
  Math Reviews 2003c:62075;   Zbl 1043.62026
   
• Consistency of semiparametric maximum likelihood estimators for two-phase, outcome dependent sampling.
  Canad. J. Statist. 29 (2001), 269 - 288. (with A.W. van der Vaart).
  Math Reviews 2002g:62039;   Zbl 0976.62017
   
• Stochastic analysis of shell sort.
  Algorithmica 31 (2001), 442-457. (with Robert Smythe).
  Math Reviews 2002h:68041;   Zbl 1064.68034
   
• Computing Chernoff's distribution.
  J. Comp. Graphical Statist. 10 (2001), 388 - 400. (with Piet Groeneboom).
  Math Reviews 1939706
   
• Two estimators of the mean of a counting process with panel count data.
  Ann. Statist. 28 (2000), 779 - 814. (with Ying Zhang).
  Math Reviews 2001i:62038 ;   Zbl 1105.62372
   
• On the semiparametric efficiency of logistic regression under case-control sampling.
  Bernoulli 6 (2000), 447 - 455. (with N. E. Breslow and J. M. Robins).
  Math Reviews 2001c:62053;   Zbl 0965.62033
   
• Current status regression.
  Mathematical Methods of Statistics 8 (1999), 407-425. (with S.A. Murphy and A. W. van der Vaart).
  Math Reviews 2001a:62126;   Zbl 1033.62021
   
• Integrated Brownian motion, conditioned to be positive.
  Ann. Probability 27 (1999), 1283 - 1303. (with Piet Groeneboom and Geurt Jongbloed).
  Math Reviews 2000i:60092;   Zbl 0983.60078
   
• Uniform convergence in some limit theorems for multiple particle systems.
  Stoch. Processes and their Applic. 72 (1997), 47 - 72. (with Evarist Giné).
  Math Reviews 99c:60042;   Zbl 0942.60015
   
• Necessary and sufficient conditions for weak consistency of the median of independent but not identically distributed random variables.
  Ann. Statistics 26 (1998), 672 - 691. (with Ivan Mizera).
  Math Reviews 99d:62020;   Zbl 0934.62052
   
• A hybrid algorithm for computation of the NPMLE from censored data.
  J. Amer. Statist. Assoc. 92 (1997), 945 - 959. (with Yihui Zhan).
  Math Reviews 98f:62114;   Zbl 0889.62026
   
• Efficient Estimation in the Bivariate Normal Copula Model: Normal Margins are Least-Favorable.
  Bernoulli 3 (1997), 55 - 77. (with C.A.J. Klaassen).
  Math Reviews 98m:62102;   Zbl 0877.62055
   
• On the distribution of Brownian areas.
  Ann. Appl. Probability 6 (1996), 1091 - 1111. (with M. Perman).
  Math Reviews 97m:60119;   Zbl 0870.60035
   
• Asymptotic normality of the NPMLE of the mean for interval censored data, case I.
  Statistica Neerlandica 49 (1995), 153 - 163. (with Jian Huang).
  Math Reviews 96g:62072;   Zbl 0832.62029
   
• Inefficient estimators of the bivariate survival function for three models.
  Ann. Inst. Henri Poincaré 31 (1995), 545 - 597. (with Richard Gill and Mark van der Laan).
  Math Reviews 96f:62060;   Zbl 0855.62024
   
• Estimation of a monotone density or monotone hazard under random censoring.
  Scand. J. Statist. 22 (1995), 3 - 33. (with Jian Huang).
  Math Reviews 96h:62068;   Zbl 0827.62032
   
• Covariance formulas via marginal martingales.
  Statistica Neerlandica, 48 (1994), 201 - 207.
  Math Reviews 96b:62158;   Zbl 0829.62097
   
• Exchangeably weighted bootstraps of the general empirical process.
  Ann. Probability 21 (1993), 2053 - 2086. (with Jens Praestgaard).
  Math Reviews 94k:60054;   Zbl 0792.62038
   
• Existence and consistency of maximum likelihood in upgraded mixture models.
  J. Mult. Anal. 43 (1992), 133 - 146. (with Aad van der Vaart).
  Math Reviews 93j:62140;   Zbl 0752.62026
   
• Empirical Processes in Action: A Review.
  Int. Statistical Review 60 (1992), 247 - 269.
  Zbl 757.62028
   
• Uniform Donsker classes of functions.
  Ann. Probability 20 (1992), 1983 - 2030. (with Anne Sheehy).
  Math Reviews 94f:60039;   Zbl 0763.60012
   
• Efficient estimation of linear functionals of a probability measure P with known marginal distributions.
  Ann. Statist. 19 (1991), 1316 - 1346. (with Peter Bickel and Ya'acov Ritov).
  Math Reviews 92i:62064;   Zbl 0742.62034
   
• A characterization of weak convergence of weighted multivariate empirical processes.
  Acta. Sci. Math. 52 (1988), 191 - 205. (with J. H. J. Einmahl and F. H. Ruymgaart).
  Math Reviews 89g:60120;   Zbl 0655.60018
   
• Large sample theory of empirical distributions in biased sampling models.
  Ann. Statist. 16 (1988), 1069 - 1112. (with Richard Gill and Yehuda Vardi).
  Math Reviews 89i:62061;   Zbl 0668.62024
   
• A heavy censoring limit theorem for the product limit estimator.
  Ann. Statist. 13 (1985), 150-162.
  Math Reviews 86f #62071,   Zbl 0609.62061
   
• Some properties of weighted multivariate empirical processes.
  Statistics and Decisions 2 (1984), 199-223. (with F. H. Ruymgaart)
  Math Reviews 87i:60028;   Zbl 0548.60023
   
• Strong limit theorems for oscillation moduli of the uniform empiricial process.
  Z. Wahrscheinlichkeitstheorie verw. Gebiete 65 (1983), 83-97. (with David M. Mason and G. R. Shorack)
  Math Reviews 85f #60048;   Zbl 0506.60025
   
• Significance points for some tests of uniformity on the sphere.
  J. Statist. Comp. Simul. 17 (1983), 195-218. (with J. Keilson, D. Petrondas, and U. Sumita)
  Math Reviews 86c #62065;   Zbl 0533.62046
   
• Information and asymptotic efficiency in parametric-nonparametric models.
  Ann. Statist. 11 (1983), 432-452. (with Janet M. Begun, W. J. Hall, and Wei-Min Huang)
  Math Reviews 85k #62066;   Zbl 0526.62045
   
• Asymptotic optimality of the product limit estimator.
  Ann. Statist. 10 (1982), 595-602.
  Math Reviews 84d #62095;   Zbl 0489.62036
   
• Limit theorems and inequalities for the uniform empirical process indexed by intervals.
  Ann. Probability 10 (1982), 639-652. (with G. R. Shorack)
  Math Reviews 84f #60041;   Zbl 0497.60026
   
• A Glivenko-Cantelli theorem for empirical measures of independent but not identically distributed random variables.
  Stochastic Processes and Their Applications 11 (1981), 309-312.
  Math Reviews 82k #60054;   Zbl 0458.60023
   
• Confidence bands for a survival curve from censored data.
  Biometrika 67 (1980), 133-143. (with W. J. Hall)
  Math Reviews 81i #62083;   Zbl 0423.62078
   
• The rate of convergence in law of the maximum of an exponential sample.
  Statistica Neerlandica 33 (1979), 151-154. (with W. J. Hall)
  Math Reviews 80k #60029;   Zbl 0417.62013
   
• Permutation tests for directional data.
  Ann. Statist. 7 (1979), 929-964.
  Math Reviews 80h #62036;   Zbl 0417.62044
   
• Limit theorems for the ratio of the empirical distribution function to the true distribution function.
  Z. Wahrscheinlichkeitstheorie verw. Gebiete 45 (1978), 73-88.
  Math Reviews 58 #31356;   Zbl 0382.60031
   
• A strong invariance theorem for the strong law of large numbers.
  Ann. Probability 6 (1978), 673-679.
  Math Reviews 58 #2999;   Zbl 0377.60034
   
• Oscillating Brownian motion.
  J. Appl. Prob. 15 (1978), 300-310. (with J. Keilson)
  Math Reviews 57 #14164;   Zbl 0391.60072
   
• A law of the iterated logarithm for functions of order statistics.
  Ann. Statist. 5 (1977), 481-494.
  Math Reviews 55 #9244;   Zbl 0365.62046
   
• Linear bounds for the empirical distribution function.
  Ann. Probability 6 (1978), 349-353. (with G. R. Shorack)
  Math Reviews 57 #7743;   Zbl 0376.60034
   
• Distributions related to linear bounds for the empirical distribution function.
  Ann. Statist. 5 (1977), 1003-1016.
  Math Reviews 56 #16873;   Zbl 0368.62027
   
• A Glivenko-Cantelli theorem and strong laws of large numbers for functions of order statistics.
  Ann. Statist. 5 (1977), 473-480. Correction, Ann. Statist. 6 1394.
  Math Reviews 58 #31359a,b;   Zbl 0365.62045
   
• A martingale inequality for the empirical process.
  Ann. Probability 5 (1977), 303-308.
  Math Reviews 55 #9243;   Zbl 0369.60051
   

Former Doctoral Students

• Nilanjana Laha, Statistics: Estimation and Testing under Shape Constraints
  (Finished August 2019; Assistant Professor, Texas A&M University.
• Qiyang (Roy) Han Statistics: Topics on Least Squares Estimation
  (Finished July 2018; Assistant Professor, Rutgers University).
• Evan Greene Statistics: Finite sampling exponential bounds.
  (Finished July 2016).
• Charles Doss (Statistics): Shape constrained inference for concave-transformed densities and their modes.
  (Finished July 2013; Assistant Professor, University of Minnesota).
• Takumi Saeguesa (Biostatistics): Weighted likelihood estimation under two-phase sampling.
  (Finished August 2012; Assistant Professor, University of Maryland).
• Arseni Seregin (Statistics): Convex analysis methods in shape constrained estimation.
  (Finished May 2010; Goldman Sachs).
• Marios Pavlides (Statistics): Nonparametric estimation of multivariate monotone densities.
  (Finished June 2008).
• Marloes Maathuis (Statistics; joint with Piet Groeneboom, Delft):
  Nonparametric estimation for current status data with competing risks.
  (Finished June 2006; Professor of Statistics, ETH Zurich).
• Leah Jager (Statistics): Goodness-of-fit statistics based on phi-divergences.
  (Finished June, 2006; Assistant Professor of Mathematics, U.S. Naval Academy, Anapolis).
• Hao Liu (Biostatistics): Semiparametric marginal mean models for multivariate counting processes.
  (Finished August 2004). Associate Professor, Division of Biostatistics, D. L. Duncan Cancer Center, Baylor University.
• Fadoua Balabdaoui (Statistics): Nonparametric estimation of a k-monotone density: a new asymptotic distribution theory.
  (Finished May 2004). Assistant Professor of Statistics, University of Paris - Dauphine.
• Shuguang Song (Statistics): Estimation with bivariate interval-censored data.
  (Finished December 2001).
• Bin Nan (Biostatistics): Information bounds and efficient estimates for two-phase designs with lifetime data.
  (Finished July 2001). Professor, University of California, Irvine, Statistics.
• Moulinath Banerjee (Statistics): Likelihood Ratio Tests in Some Semiparametric and Nonparametric Models
  (Finished November 2000). Professor, University of Michigan, Statistics.
• Florentina Bunea (Statistics): A Model Selection Approach to Partially Linear Regression.
  (Finished July 2000). Professor, Cornell University, Statistics.
• Nilanjan Chatterjee (joint with Norman Breslow, Biostatistics):
  Semiparametric Inference Based on Estimating Equations in Regression Models for Two Phase Outcome Dependent Sampling.
  (Finished March, 1999). Bloomberg Distinguished Professor, Bloomberg School of Public Health, Johns Hopkins University.
• Eduardo Gomes (Statistics): Lifetime and Disease Onset Distributions from Incomplete Observations.
  (Finished February, 1999). Professor of Statistics, Universidade de Brasilia.
• Brad McNeney (Biostatistics): Asymptotic Efficiency in Semiparametric Models with non-i.i.d. Data.
  (Finished August, 1998). Associate Professor, Simon Fraser University, Statistics.
• Ying Zhang (Statistics): Estimation for Counting Processes with Incomplete Data.
  (Finished June, 1998). Professor, University of Iowa, Biostatistics.
• Huilin Hu: Large sample theory for Pseudo-Maximum Likelihood Estimation in Semiparametric Models.
  (Finished February, 1998). Currently at Novartis Pharmaceutical Corp.
• Yihui Zhan: Bootstrapping functional M-estimators (Finished March, 1996). Currently at Rosetta.
• Jian Huang: Estimation in Regression Models with Interval Censoring.
  (Finished 1994). Professor of Statistics, University of Iowa, Statistics.
• Jens Praestgaard: General-Weights Bootstrap of the Empirical Process.
  (Finished 1991). Currently at Human Genome Sciences, Rockville Maryland; ajpraestgaard@earthlink.net.
• Luc Watelet: Nonparametric Estimation of Component Life Distributions in Meilijson's Competing Risks Model. (Finished 1990).
• Peter D. Sasieni: Beyond the Cox Model: Extensions of the Model and Alternative Estimators.
  (Finished 1989). Professor, Cancer Research UK Department of Epidemiology, Mathematics, and Statistics,
  Wolfson Institute of Preventative Medicine, Charterhouse Square, London EC1M 6BQ, UK.
• Russell Millar: Estimation of Mixing and Mixed Distributions.
  (Finished 1989). Currently Associate Professor of Statistics, University of Auckland, Auckland, New Zealand.
• Anne Sheehy: Kullback-Leibler Estimation of Probability Measures with an Application to Clustering.
  (Finished 1987). Currently in Biostatistics Group, University of Zurich.
• Gangaji Maguluri: Inference for a Bivariate Survival Function.
  (Finished 1986, University of Rochester).
• Melinda Hungerford Harder: Effects of Censoring on Robustness.
  (Finished 1985, University of Rochester). Lecturer, Bates College, Lewiston, Maine.
• Wei-Min Huang (joint with W. J. Hall): Parameter estimation when there are nuisance functions.
  (Finished 1982, University of Rochester). Professor of Mathematics, Lehigh University, Bethlehem, Pennsylvania
• Janet Begun: Estimation of Relative Risk in a Proportional Hazards Model.
  (Finished 1980, University of Rochester).

Current Doctoral Students